Explicit Form of Solutions of Second-Order Delayed Difference Equations: Application to Iterative Learning Control

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dc.contributor.authorMahmudov, Nazim I.
dc.contributor.authorAwadalla, Muath
dc.contributor.authorArab, Meraa
dc.date.accessioned2026-02-06T18:24:13Z
dc.date.issued2025
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractA system of inhomogeneous second-order difference equations with linear parts given by noncommutative matrix coefficients are considered. The closed form of its solution is derived by means of a newly defined delayed matrix sine/cosine using the Z transform and determining function. This representation helps with analyzing iterative learning control by applying appropriate updating laws and ensuring sufficient conditions for achieving asymptotic convergence in tracking.
dc.description.sponsorshipDeanship of Scientific Research [KFU250955]; Deanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research, King Faisal University, Saudi Arabia
dc.description.sponsorshipThis work was supported by the Deanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research, King Faisal University, Saudi Arabia [Grant No. KFU250955].
dc.identifier.doi10.3390/math13060916
dc.identifier.issn2227-7390
dc.identifier.issue6
dc.identifier.orcid0000-0002-6447-6361
dc.identifier.scopus2-s2.0-105001057459
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math13060916
dc.identifier.urihttps://hdl.handle.net/11129/10093
dc.identifier.volume13
dc.identifier.wosWOS:001452724800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectsecond-order difference
dc.subjectZ transform
dc.subjectiterative learning control
dc.titleExplicit Form of Solutions of Second-Order Delayed Difference Equations: Application to Iterative Learning Control
dc.typeArticle

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